Finding the Third Proportional to 68,142.50 and 159,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,142.50 : 159,167.50 = 159,167.50 : x
2. Step 2: Convert to fraction form
   68,142.50/159,167.50 = 159,167.50/x
3. Step 3: Cross multiply
   68,142.50x = 159,167.50 × 159,167.50
4. Step 4: Simplify right side
   68,142.50x = 25,334,293,056.25
5. Step 5: Solve for x
   x = 25,334,293,056.25/68,142.50
6. Step 6: Final answer
   x = 371,784.03